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Finding the Fourth Proportional to 943.76, 1,302.25 and 524.11

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Solution

The fourth proportional to 943.76, 1,302.25 and 524.11 is: 723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.76 : 1,302.25 = 524.11 : x
  2. Step 2: Convert to fraction form
    943.76/1,302.25 = 524.11/x
  3. Step 3: Cross multiply
    943.76x = 1,302.25 × 524.11
  4. Step 4: Simplify right side
    943.76x = 682,517.68
  5. Step 5: Solve for x
    x = 682,517.68/943.76
  6. Step 6: Final answer
    x = 723.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.